(2 marks) The 2 x 2 matrix has two distinct real eigenvalues. 1. Give the characteristic polynomial for A in Maple notat

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2 Marks The 2 X 2 Matrix Has Two Distinct Real Eigenvalues 1 Give The Characteristic Polynomial For A In Maple Notat 1 (35.42 KiB) Viewed 32 times

(2 marks) The 2 x 2 matrix has two distinct real eigenvalues. 1. Give the characteristic polynomial for A in Maple notation in the form t^2 + a*t + b Characteristic polynomial = t^2+7*t-8 2. Find the set of eigenvalues for A, enclosed in braces ( } with the two eigenvalues separated by a comma, like (-4, 7) F Set of eigenvalues for A = {1,-8} A = (-7²) 3. Find one eigenvector for each eigenvalue, using Maple <,>for vectors, e.g. <5, -6> for the vector ·(5) an eigenvector for the smallest eigenvalue for A = an eigenvector for the largest eigenvale for A = X AG